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Finding the Fourth Proportional to 9,727.74, 13,424.04 and 5,748.93

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Solution

The fourth proportional to 9,727.74, 13,424.04 and 5,748.93 is: 7,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.74 : 13,424.04 = 5,748.93 : x
  2. Step 2: Convert to fraction form
    9,727.74/13,424.04 = 5,748.93/x
  3. Step 3: Cross multiply
    9,727.74x = 13,424.04 × 5,748.93
  4. Step 4: Simplify right side
    9,727.74x = 77,173,866.28
  5. Step 5: Solve for x
    x = 77,173,866.28/9,727.74
  6. Step 6: Final answer
    x = 7,933.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.